Using 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be formed? 00 (a) (b) (3!) (c) (d) None of these

Q: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

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Q: For the differential equation (x2 – 4)y" + (x- 2)y' + 2y = 0, the singular points are: O None of…

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Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

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Q: a. Highlight the graph of y = I 6x +5 red by dragging your finger along the indicated line. x2 + 6x…

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Q: Employees at Sherman Inc. were given a survey about their current habits. One of the questions asks…

A: When the sample population becomes large, the result will become more accurate. So option C is…

Q: Prove that an angle of 0 radians is constructible if and only if the real number cose(sine)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: y" + 12y" + 36y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -7. %3D

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Q: The eigenvalues of a symmetric L2 – kernel form a finite or an infinite sequence (A„) with no finite…

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Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(V2t), y(0) = 11,…

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Q: Evaluate 3- 2y ds where Cis the line segment from (3,6)to(1, –1)ts -58.240 58.240 -57.991 Non of the…

A: Let us consider the line integral I=∫cf(x,y)ds  The integral will be converted to…

Q: Amy, Jim, John, and Kelly are standing on the east bank of a river and wish to cross to the west…

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Q: Let M2(R) be the set of 2 x 2 matrices with real number entries, i.e., {[: :] inhader}. Define…

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Q: 1 example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: We will use the basic knowledge of integral calculus to answer this question completely and…

Q: (a) (: For the function 2 0 <t < 3 f(t) = (e2 – 3)? t 2 3 use the definition of the Laplace…

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Q: 1 4 5 -6 g) A = 6 15 , B= 11 - 23 -12 3 51 35 -4 71 52 12 h) A = 22 9 B=-5 17 -19 100 -24 -8 91 -8…

A: Solution :-

Q: Using the method of undetermined coefficients, the form of y, of the differential equation: y4) -…

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Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

A: Answer :-

Q: in fourier series b, =f(x) cos NTX cos dx L L True O False О

A: We Know that,  A Fourier series is an expansion of a periodic function f(x) in terms of an infinite…

Q: A: Would the graph of y 0.5x show exponential growth or exponential decay? B: Would the graph of y…

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Q: For the differential equation (x2 – 4)y" + (x - 2)y' + 2y = 0, a regular singular point is:

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Q: 2 Given matrix A = -5 applying 3. 31 1 row operation it become -5 -3. what row operation used? a.…

A: From given matrices Determinant of A is  2×3 - (-6)×(-5) = -24  And Determinant of B is  (-1)×(-3) -…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

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Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x2 + y? + 22…

A: Solution :-

Q: Consider the equation uzz + 2/yuzy + tUyy = 0. Find the points in the ry-plane where the equation is…

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Q: Determine if the functions in each pair are equivalent. Provide mathematical proof or justification…

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Q: · A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: A roof gutter is to be made from a long strip of sheet metal L meters wide, by bending up equal…

Q: 8. x³y" +x2 y" – 2x y' + 2 y = x³sinx %3D

A: Solution :-

Q: Iculate the integral (2² - y2) dA nain D is bounded by y = r and y = 4x for I > 0. ving of the…

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Q: 6. Let 15 2 8 B= |-3 4 1 L4 -4 5. e) Find odj a Compute det (B) E Show that the B (Adj B) = (odj 8)…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

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Q: Drag each set of column entries to the correct location In the augmented matrix. Not all sets of…

A: Given:               x+y+z = 320                                x+12y = 20               y-z = 75

Q: 2 2 3 -4 find, Alel. -1 g? A= 3 -2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculus Find the following surface integrals. Here S is the part of the sphere x^2+y^2+z^2=a^2 that…

A: S is a surface given by parametric curve r u,v = xu,v i + yu,v j + zu,v k∫∫S   fx , y , z dS = ∫∫S…

Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Given:If it is known that the priodic function f(t) contains even harmonics only

Q: pentagon GHJKL (not shown), 9. If the perimeter of ABCDE is 50, 25. Pentagon ABCDE AB = 6, and GH…

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Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

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Q: Q1/ The solid homogenous 400 lb block A rests on a horizontal plane. The coefficient of friction…

A: The solution is given below

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x € R: 1/x e A}. 1…

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Q: Find the set A, whe f is continuous on A. sin(nz) a) S(z) = L n{x* + 2n)' n(x* + 2n)'

A: We shall solve first question only as per the answering guidelines. For others kindly post again by…

Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function

Q: Consider the following binary relation: Vx, y E R?, x Ey if x1 > Yı (indepen- dent of x2 and y2) or…

A: We will use the basic knowledge of relations to answer this question correctly and completely.…

Q: Ee whether or not fn converges uniformly nclusion. b) (0, 1)

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Q: I. Consider the function g defined by 1 g(1, y) = cos (7x/) + log3(r – y) Do as indicated. 1.…

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Q: Show that the integral equation TT g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalue

A: Solution:-

Q: 2. Give an example of a graph with at least four vertices, or prove that none exists, such that: (a)…

A: Graph theory, construct a graph

Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places